Return 4 cups stock to pot, and bring to a boil. Add 1 teaspoon salt and the peas. Reduce heat, and vigorously simmer until peas are tender and bright green, 3 to 4 minutes.

Add eggs in a slow, steady stream, swirling liquid gently with a fork to create strands. Stir in lemon zest and juice to taste, then pea tendrils. Cook just until tendrils are wilted, about 30 seconds. Season with salt and pepper. Serve immediately.